Part 1: Write the equation of the line that passes through the points (3, 4) and (–3, –8) in point-slope form. Part 2: Using complete sentences, explain whether or not it matters which point is used in the final answer. Also explain why you chose the point you did.

Question

Part 1: Write the equation of the line that passes through the points (3, 4) and (–3, –8) in point-slope form.  Part 2: Using complete sentences, explain whether or not it matters which point is used in the final answer. Also explain why you chose the point you did.

helder_edwin · Answer

first compute the slope
do u know this?

anonymous · Answer

$$Slope = \frac{y_2 - y_1}{x_2 - x_1}$$

anonymous · Answer

Can you find slope from this??

anonymous · Answer

Here:

$$(x_1, y_1) = (3,4)$$

$$(x_2, y_2) = (-3, -8)$$

Just plug in the values and find slope first..

anonymous · Answer

Yes is it m= 2

anonymous · Answer

Yes..

waleed_imtiaz · Answer

U can apply two-point form..... If U want to apply point slope form. then just calculate the slope first by the formula, it will be slope=2 and then use any of the point in the point slope form because these two points lie on the same line so u can put any point.........

anonymous · Answer

okay so the point slope is y - 4 = 2(x-3)

anonymous · Answer

Yes..

waleed_imtiaz · Answer

the equation would be 2x-y-2=0

anonymous · Answer

Okay now how do I explain part 2

anonymous · Answer

Because in both the cases we will have same y intercept..

It does not depend upon the points we have chosen..

anonymous · Answer

Okay thank you !

waleed_imtiaz · Answer

If u place (3,4), the equation would be 2x-y-2=0 and If U place (-3,-8), then the equation would be 2x-y+2=0. so u can see, only the constant term has the sign difference... 
and there's a supposition that if the co-efficients of x and y are same for both the equations and also have the same signs., then the equations are parallel, so U have the proof in these equations........